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Search the School of Mathematical Sciences
People matching "+Gauge +theory"
Events matching "+Gauge +theory"
There are no magnetically charged particle-like solutions of the Einstein-Yang-Mills equations for models with Abelian residual groups 13:10 Fri 19 Aug, 2011 :: B.19 Ingkarni Wardli :: Dr Todd Oliynyk :: Monash University
According to a conjecture from the 90's, globally regular, static, spherically symmetric (i.e. particle-like) solutions with nonzero total magnetic charge are not expected to exist in Einstein-Yang-Mills theory. In this talk, I will describe recent work done in collaboration with M. Fisher where we establish the validity of this conjecture under certain restrictions on the residual gauge group. Of particular interest is that our non-existence results apply to the most widely studied models with Abelian residual groups.
Bundle gerbes and the Faddeev-Mickelsson-Shatashvili anomaly 13:10 Fri 30 Mar, 2012 :: B.20 Ingkarni Wardli :: Dr Raymond Vozzo :: University of Adelaide
The Faddeev-Mickelsson-Shatashvili anomaly arises in the quantisation of fermions interacting with external gauge potentials. Mathematically, it can be described as a certain lifting problem for an extension of groups. The theory of bundle gerbes is very useful for studying lifting problems, however it only applies in the case of a central extension whereas in the study of the FMS anomaly the relevant extension is non-central. In this talk I will explain how to describe this anomaly indirectly using bundle gerbes and how to use a generalisation of bundle gerbes to describe the (non-central) lifting problem directly. This is joint work with Pedram Hekmati, Michael Murray and Danny Stevenson.
Gauge groupoid cocycles and Cheeger-Simons differential characters 13:10 Fri 5 Apr, 2013 :: Ingkarni Wardli B20 :: Prof Jouko Mickelsson :: Royal Institute of Technology, Stockholm
Groups of gauge transformations in quantum field theory are typically
extended by a 2-cocycle with values in a certain abelian group due to chiral symmetry breaking. For these extensions there exist a global explicit construction since the 1980's. I shall study the higher group cocycles following a recent paper by F. Wagemann and C. Wockel, but extending to the transformation groupoid
setting (motivated by QFT) and discussing potential obstructions in the
construction due to a nonvanishing of low dimensional homology groups
of the gauge group. The resolution of the obstruction is obtained
by an application of the Cheeger-Simons differential characters.
M-theory and higher gauge theory 13:10 Fri 12 Apr, 2013 :: Ingkarni Wardli B20 :: Dr Christian Saemann :: Heriot-Watt University
I will review my recent work on integrability of M-brane configurations and
the description of M-brane models in higher gauge theory. In particular, I
will discuss categorified analogues of instantons and present superconformal equations of motion for the non-abelian tensor multiplet in six dimensions. The latter are derived from considering non-abelian gerbes on certain twistor spaces.
Instantons and Geometric Representation Theory 12:10 Thu 23 Jul, 2015 :: Engineering and Maths EM212 :: Professor Richard Szabo :: Heriot-Watt University
We give an overview of the various approaches to studying
supersymmetric quiver gauge theories on ALE spaces, and their conjectural
connections to two-dimensional conformal field theory via AGT-type
dualities. From a mathematical perspective, this is formulated as a
relationship between the equivariant cohomology of certain moduli spaces
of sheaves on stacks and the representation theory of infinite-dimensional
Lie algebras. We introduce an orbifold compactification of the minimal
resolution of the A-type toric singularity in four dimensions, and then
construct a moduli space of framed sheaves which is conjecturally
isomorphic to a Nakajima quiver variety. We apply this construction to
derive relations between the equivariant cohomology of these moduli spaces
and the representation theory of the affine Lie algebra of type A.
Chern-Simons invariants of Seifert manifolds via Loop spaces 14:10 Tue 28 Jun, 2016 :: Ingkarni Wardli B17 :: Ryan Mickler :: Northeastern University
Over the past 30 years the Chern-Simons functional for connections on G-bundles over three-manfolds has lead to a deep understanding of the geometry of three-manfiolds, as well as knot invariants such as the Jones polynomial. Here we study this functional for three-manfolds that are topologically given as the total space of a principal circle bundle over a compact Riemann surface base, which are known as Seifert manifolds. We show that on such manifolds the Chern-Simons functional reduces to a particular gauge-theoretic functional on the 2d base, that describes a gauge theory of connections on an infinite dimensional bundle over this base with structure group given by the level-k affine central extension of the loop group LG. We show that this formulation gives a new understanding of results of Beasley-Witten on the computability of quantum Chern-Simons invariants of these manifolds as well as knot invariants for knots that wrap a single fiber of the circle bundle. A central tool in our analysis is the Caloron correspondence of Murray-Stevenson-Vozzo.
Family gauge theory and characteristic classes of bundles of 4-manifolds 13:10 Fri 16 Mar, 2018 :: Barr Smith South Polygon Lecture theatre :: Hokuto Konno :: University of Tokyo
I will define a non-trivial characteristic class of bundles of
4-manifolds using families of Seiberg-Witten equations. The basic idea
of the construction is to consider an infinite dimensional
analogue of the Euler class used in the usual theory of characteristic
classes. I will also explain how to prove the non-triviality of this
characteristic class. If time permits, I will mention a relation between
our characteristic class and positive scalar curvature metrics.
Discrete fluxes and duality in gauge theory 11:10 Fri 24 Aug, 2018 :: Barr Smith South Polygon Lecture theatre :: Siye Wu :: National Tsinghua University
We explore the notions of discrete electric and magnetic fluxes introduced by 't Hooft in the late 1970s. After explaining
their physics origin, we consider the description in mathematical terminology. We finally study their role in duality.
Publications matching "+Gauge +theory"
|The elliptic curves in gauge theory, string theory, and cohomology|
Sati, Hicham, The Journal of High Energy Physics (Print Edition) 3 (0–19) 2006
|Some relations between twisted K-theory and E8 gauge theory|
Varghese, Mathai; Sati, Hicham, The Journal of High Energy Physics (Online Editions) 3 (WWW 1–WWW 22) 2004
|Some relations between twisted K-theory and E-8 gauge theory|
Mathai, V; Sati, Hicham, The Journal of High Energy Physics (Online Editions) (WWW1–WWW22) 2004
|Axial anomaly and topological charge in lattice gauge theory with overlap dirac operator|
Adams, Damian, Annals of Physics 296 (131–151) 2002
|Families index theory, gauge fixing, and topology of the space of lattice-gauge fields: a summary|
Adams, Damian, Nuclear Physics B-Proceedings Supplements 109A (77–80) 2002
|The universal gerbe, Dixmier-Douady class, and gauge theory|
Carey, Alan; Mickelsson, J, Letters in Mathematical Physics 59 (47–60) 2002
|On the continuum limit of fermionic topological charge in lattice gauge theory|
Adams, David, Journal of Mathematical Physics 42 (5522–5533) 2001
|Introduction to Chern-Simons gauge theory on general 3-manifolds|
Adams, David, chapter in Mathematical methods in physics (World Scientific Publishing) 1–43, 2000
|Global obstructions to gauge-invariance in chiral gauge theory on the lattice|
Adams, David, Nuclear Physics B 589 (633–656) 2000
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